What is the Least Common Multiple of 30520 and 30538?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 30520 and 30538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30520 and 30538, than apply into the LCM equation.

GCF(30520,30538) = 2
LCM(30520,30538) = ( 30520 × 30538) / 2
LCM(30520,30538) = 932019760 / 2
LCM(30520,30538) = 466009880

Least Common Multiple (LCM) of 30520 and 30538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30520 and 30538. First we will calculate the prime factors of 30520 and 30538.

Prime Factorization of 30520

Prime Factorization of 30538

Now multiplying the highest exponent prime factors to calculate the LCM of 30520 and 30538.

LCM(30520,30538) = 2³ × 5¹ × 7¹ × 109¹ × 15269¹
LCM(30520,30538) = 466009880